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Uniqueness of the mass in the radiating regime

Piotr T. Chrusciel·Jacek Jezierski·Malcolm A. H. MacCallum
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Abstract

The usual approaches to the definition of energy give an ambiguous result for the energy of fields in the radiating regime. We show that for a massless scalar field in Minkowski space-time the definition may be rendered unambiguous by adding the requirement that the energy cannot increase in retarded time. We present a similar theorem for the gravitational field, proved elsewhere, which establishes that the Trautman-Bondi energy is the unique (up to a multiplicative factor) functional, within a natural class, which is monotonic in time for all solutions of the vacuum Einstein equations admitting a smooth ``piece'' of conformal null infinity Scri.

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Piotr T. Chrusciel, Jacek Jezierski, Malcolm A. H. MacCallum. 1998-01-21. Uniqueness of the mass in the radiating regime. https://doi.org/10.1103/physrevlett.80.5052

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